| 酉不变范数下{1,3}-和{1,4}-逆的扰动界 |
| |
| 引用本文： | 孟令胜.酉不变范数下{1,3}-和{1,4}-逆的扰动界[J].浙江大学学报(理学版),2018,45(3):304-307. |
| |
| 作者姓名： | 孟令胜 |
| |
| 作者单位： | 西北师范大学 数学与统计学院, 甘肃 兰州 730070 |
| |
| 基金项目： | 国家自然科学基金资助项目（11701458）；西北师范大学青年教师科研能力提升计划项目（NWNU-LKQN-16-15）. |
| |
| 摘 要： | MENG等给出了{1，3}-和{1，4}-逆在谱范数和Frobenius范数下的加法和乘法扰动界，本文研究了{1，3}-和{1，4}-逆在一般的酉不变范数下的加法和乘法扰动界，所得结果推广和改进了已有文献中的相关结果.
|
| 关 键 词： | 酉不变范数 扰动界 广义逆 奇异值分解 |
| 收稿时间： | 2017-01-13 |
Perturbation bounds of {1,3}-and {1,4}-inverses under the unitarily invariant norm |
| |
| MENG Lingsheng.Perturbation bounds of {1,3}-and {1,4}-inverses under the unitarily invariant norm[J].Journal of Zhejiang University(Sciences Edition),2018,45(3):304-307. |
| |
| Authors: | MENG Lingsheng |
| |
| Institution: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China |
| |
| Abstract: | The additive and multiplicative perturbation bounds of the {1,3}-and {1,4}-inverses under the spectral norm and Frobenius norm were derived by MENG et al. In this paper, the additive and multiplicative perturbation bounds of the {1,3}-and {1,4}-inverses under the general unitarily invariant norm are studied. The results extend and improve the corresponding results in the above paper. |
| |
| Keywords: | unitarily invariant norm perturbation bound generalized inverse singular value decomposition |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《浙江大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《浙江大学学报(理学版)》下载免费的PDF全文 |
|
